Bourbaki

Corollary

Tag 076J, permanent. Cite it as [Bourbaki, Tag 076J].

Algebra, chapter VII, § 5. Endomorphisms of vector spaces

— If all the roots of the characteristic polynomial of u are in K, and they are all simple, then u is diagonalisable.

Indeed the minimal polynomial divides the characteristic polynomial.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

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Cites

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Transcribed from the printed edition, 2003, Springer. Not translated.